What is the distance between points (-3, 5, -7) and (2, -4, 6)?

Answers

Answer 1

Distance between the points (-3, 5, -7) and (2, -4, 6) is 5√11 units.

What is cartesian coordinate points?

The Cartesian coordinates of a point in three dimensions are the triple (x, y, z). The three numbers or coordinates give the signed distance from the origin along the x, y, and z axes respectively.

Solution:

Given, x1 = -3     ,  x2 = 2

           y1 = 5      ,  y2 = -4

           z1 = -7     ,  z2 = 6

The formula for finding the distance between two points on 3D graph is given below

Distance =√((x2-x1)²+(y2-y1)²+(z2-z1)²)

⇒Distance =√{(2-(-3))²+(-4-5)²+(6-(-7))²}

⇒Distance =√{(2+3)²+(-9)²+(6+7)²}

⇒Distance =√{5²+81+13²}

⇒Distance =√(25+81+169)

⇒Distance =√275

⇒Distance =5√11

Thus, the distance between (-3, 5, -7) and (2, -4, 6) is 5√11.

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Answer 2

According to the given information the distance between the points 16.58 units.

What is the distance formula, exactly?

the algebraic phrase known as the distance formula, which provides the distances between two places in terms of respective dimensions (see coordinate system). The distance formulae for locations in rectangular coordinates in two- and two half Euclidean space are based upon that Pythagorean theorem.

How come we measure distance?

We can determine an object's actual size by learning how far it is from us. The area that an object occupies in the sky may be measured. The distance to an object is then necessary to calculate its real size. An thing appears smaller the farther it is away.

Briefing:

The distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂)

[tex]\begin{equation}d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}\end[/tex]

x₁, y₁, z₁ = -3, 5, -7

x₂, y₂, z₂ = 2, -4, 6

[tex]\begin{equation}d=\sqrt{\left(2+3\right)^2+\left(-4-5\right)^2+\left(6+7\right)^2}\\\begin{equation}d=\sqrt{\left(5\right)^2+\left(-9\right)^2+\left(13\right)^2}\\\begin{equation}d=\sqrt{25+81+169}\\\begin{equation}d=\sqrt{275}\\[/tex]

= 16.58 units

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Related Questions

Solve -4x + 6(x + 2) = 20.

Answers

Answer:

4

Step-by-step explanation:

-4x +6x +12 = 20

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2x = 8

x = 4

Answer:

X=4

Step-by-step explanation:

-4x+6x+12=29

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Step-by-step explanation:

j:)

ANSWER CORRECTLY AND ILL MARK YOU AS BRAINIEST
Six containers have the following ounces in them: 6.2, 8.07, 9.4. 2.11, 5, 6.173 (Do not round your answer

Answers

Answer:

what is the question tho?

Answer:

Hi! The answer to your question is 36.953

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

What value of x makes the equation true?
3 - 14x = 17
A-1
B-1
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Answers

Answer:

3 -14x =17

-14x = 17 - 3

-14x = 14

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hope this answer helps you.....

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I think it’s an ac130 or an a10

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Answers

Convert any mixed numbers to fractions.
Then your initial equation becomes:

15
4
×
4
1
Applying the fractions formula for multiplication,

=
15
×
4
4
×
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=
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Answer:

15 (C)

//msg added cus it was short//


Note Figure is not drawn to scale.
If r= 2 cm and h = 2 cm, what is the surface area,
in terms of r?

Answers

Answer:

your answer is...

Step-by-step explanation:

50.265482457437

I used my calculator

I WILL NOT ACCEPT LINKS! AND WILL REPORT!!! Please help with this geometry question. An explanation would be nice!

Answers

ON=5.099  

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Answers

Answer:

See the attached

Step-by-step explanation:

The solution and filled in Venn diagram is attached

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Answers

Answer:

I might not be right but try following the steps in the screen shot

Also the answer is in the screenshot

Step-by-step explanation:

I tried my best. :>

Please help me with this

Answers

Answer:

x = 5

Step-by-step explanation:

Given

- 3x - 2 = - 17 ( add 2 to both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

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Answers

Answer:

7

Step-by-step explanation:

divide 7 to both side

7x/7=49/7

x=7

Find the circumference of the circle.
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D. 33 cm

Answers

Answer:

The answer is 44 cm .

which is (B)

Mrs Fuller plants a 4 inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Which equation can be used to determine h, the height of the tomato plant in inches after w weeks?

Answers

Answer: 4 + 2w

Step-by-step explanation:

The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:

h = 4 + 2(w)

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For example, the height of the tomato plant in inches after 5 weeks will be:

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Plz help i don't wnat links i want you to show the answer on here i trust you will.
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Answers

Answer:

a to L is 12 inches and a to n is 32 in                                                                          Step-by-step explanation:

-4(-2)+(-12)÷(+3)+-20+(+4)+(-6)​

Answers

Answer:

-18

Step-by-step explanation:

[tex]-4(-2)+\frac{(-12)}{+3}-20+(+4)+(-6)=8-\frac{12}{3}-20+4-6=8-4-20+4-6=-18[/tex]

Answer:

-18

Step-by-step explanation:

-4(-2)+(-12)÷(+3)+-20+(+4)+(-6). [B.E.D.M.A.S rule] (First bracket)

= 8 - 12 ÷ 3 - 20 + 4 - 6. (Then division)

= 8 - 4 - 20 + 4 - 6. (Then after addition)

= 8 + 4 - 4 - 20 - 6

= 12 - 30. (At last subtraction)

= -18 (Ans)

What's the domain and range of the exponential growth function? (please help asappp no spam please or links or anything like that!!! will give brainliest)

Domain: All real numbers; Range: All real numbers

Domain: x > –2; Range: y > –2

Domain: x < –2; Range: All real numbers

Domain: All real numbers; Range: y > –2

Answers

Answer:

Domain: All real numbers; Range: y > –2

Step-by-step explanation:

Asymptote is y = -2 so all y-values have to be greater than -2. The asymptote is horizontal so x-values can be all real numbers.

I'LL GIVE YOU 5 STARES HELP. Find the area of the figures shown below and drop the correct result Into the appropriate blank. DRAG & DROP THE ANSWER 14 cm 55 cm 8 cm 11 36 m² 5 cm 38 cm 8 cm 58 cm 39 m2 8 m 40 m² 11 4 m 70 cm 10 m​

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I saw its strength
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It sheltered my fears,
Providing encouragement and hope.

Summer spoke to me.

How does the first–person perspective in the poem reinforce the idea that summer is an actual being?

a
It is omniscient, which means that it knows everything, so summer must be an actual being.
b
It allows the reader to get into summer's mind and experience what it experiences.
c
It is told from the perspective of summer, which proves that it is an actual being.
d
It gives the impression that the speaker personally encountered summer as an actual being.

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.(Quadratic Word Problems (Profit/Gravity)
y=-16x^2+121x+83

Answers

Answer:

The rocket will hit the ground after about 8.20 seconds.

Step-by-step explanation:

The height of the rocket y, in feet, x seconds after launch is modeled by the equation:

[tex]y=-16x^2+121x+83[/tex]

We want to find the time at which the rocket will hit the ground.

If it hits the ground, the height of the rocket y will be 0. Thus:

[tex]0=-16x^2+121x+83[/tex]

We can solve for x. Factoring (if possible at all) or completing the square can be tedious, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = -16, b = 121, and c = 83. Substitute:

[tex]\displaystyle x=\frac{-(121)\pm\sqrt{(121)^2-4(-16)(83)}}{2(-16)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{-121\pm\sqrt{19953}}{-32}[/tex]

Divide everything by -1 and simplify the square root. The plus/minus will remain unchanged:

[tex]\displaystyle x=\frac{121\pm3\sqrt{2217}}{32}[/tex]

Therefore, our two solutions are:

[tex]\displaystyle x=\frac{121+3\sqrt{2217}}{32}\approx 8.20\text{ or } x=\frac{121-3\sqrt{2217}}{32}\approx -0.63[/tex]

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Solve for x. Use the photo for the chord

Answers

Answer: x=3

Step-by-step explanation:

Module 19 - Reflections
Assignment Active
Practice working with reflections.
Assignment
y
M(-5, 4)
M'(5, 4)
What is the rule for the reflection?
ry-axis(x, y) - (x, y)
P'y-axis(x, y) - (x,-y)
* rx-axis(x, y) (-x, y)
Orx-axis(x, y) = (x,-y)
2
L(-6,2)
N(-3,2)
N'(3,2)
L'(6,2)
x
-2
2
-2

Answers

Answer:

R y-axis (x,y) to (-x,y)

Step-by-step explanation:

The  rule for reflection is [tex]r_y[/tex] axis (x, y) -> (-x, y).

What is Transformation?

A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure.

The original shape of the object is known as the Pre-Image, and the final shape and location of the object is known as the Image during the transformation.

As per the figure. the coordinates of Triangle LMN are

L(-6, 2),

M(-5, 4)

N(-3, 2)

and, the coordinates of Triangle L'M'N' are

L'(6, 2),

M'(5, 4)

N'(3, 2)

Here, the y coordinate is same only the sign of x coordinate change.

So, the rule for reflection is r y- axis (x, y) -> (-x, y).

Learn more about Transformation here:

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which is the correct input-output table for the function g(x)=-1/2(4x+6)

Answers

Answer: The third choice.

Step-by-step explanation: To find the first output, start with your first input. In this case, it's -2, so your equation would be g(-2)= -1/2(4(-2)+6). Start by solving inside the parenthesis. 4x-2=-8 and -8+6=-2. -1/2x-2= 1, so your first output should be 1. The only choice that has this is the third one, so that is your answer. Hope I could help :)

which two ratios represent quantities that are proportional?

Answers

Answer:

C, because it equals in both sides

Answer:

The answer is C

Step-by-step explanation:

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Answers

It would be atleast 40,000

PLEASE HELP ASAP ILL MARK BRAINLY IF U DO

Answers

Answer:

34.1 is the answer by Pythagoras thereom

A pattern of ordered pairs is shown.

(0, 1), (2,4), (4,7), (6, 10)

The pattern continues. What is the eighth ordered pair in the pattern?

A. (8,13) B. (14, 18). C. (14, 22) D. (16, 19)​

Answers

Answer: C

Step-by-step explanation:

X’s are going by +2 and y’s by +3

After identifying the pattern, its eighth ordered pair is: (14, 22), option C.

--------------------------

The ordered pairs given are: (0, 1), (2,4), (4,7), (6, 10)

From them, we can see that for each new ordered pair, x increases by 2, and y increases by 3.Thus, the next ordered pairs are: (8, 13), (10, 16), (12, 19), (14, 22).The eighth ordered pair is given by (14,22), option C.

A similar problem is given at https://brainly.com/question/16599038

Please help!! I need answering

Answers

Answer:

B

Step-by-step explanation:

26x82=2132

2132/2=1066

need help asap i have 25minutes left

Answers

bac=57

Step-by-step explanation:

lmk=50

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